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A246255
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Number of permutations of [n] with exactly ten occurrences of the consecutive step pattern up, down, down.
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2
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62671742039942099631403299, 18231157381733294406542318214, 3087040831300287487055787449994, 394974982016287093640971012693311, 42334746925643499979072751981842422, 4013581941216432516413056735995683706, 347925850343780865770905714211197525182
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OFFSET
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31,1
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LINKS
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FORMULA
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a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^10, where c = 0.00000000000652802483581788974... = c0 * (c0-1)^10 / (3^10 * 10!), and c0 = (1 + exp(Pi/sqrt(3))) * sqrt(3) / (2*Pi). - Vaclav Kotesovec, Aug 26 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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